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Finding the Fourth Proportional to 1,057.77, 1,459.55 and 664.52

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Solution

The fourth proportional to 1,057.77, 1,459.55 and 664.52 is: 916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.77 : 1,459.55 = 664.52 : x
  2. Step 2: Convert to fraction form
    1,057.77/1,459.55 = 664.52/x
  3. Step 3: Cross multiply
    1,057.77x = 1,459.55 × 664.52
  4. Step 4: Simplify right side
    1,057.77x = 969,894.53
  5. Step 5: Solve for x
    x = 969,894.53/1,057.77
  6. Step 6: Final answer
    x = 916.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.